TY - JOUR
T1 - Investigation of photonic band gap in a circular photonic crystal
AU - Chang, T. W.
AU - Hsu, H. T.
AU - Wu, C. J.
N1 - Funding Information:
C.-J. Wu acknowledges the financial support from the National Science Council (NSC) of the Republic of China (R.O.C., Taiwan) under Contract No. NSC-100-2112-M-003-005-MY3 and from the National Taiwan Normal University under NTNU100-D-01.
PY - 2011
Y1 - 2011
N2 - Photonic band gap (PBG) in a circular photonic crystal (CPC) has been theoretically investigated in detail on the basis of transfer matrix method in the cylinder Bragg wave. Analytical results in the PBG have been made based on the reflectance spectrum in a quarter-wavelength stack. It is found that, at azimuthal number m = 0, both wavelength- and frequency-dependent reflection responses for the CPC bear strong resemblances to those of a one-dimensional planar PC (PPC). The reflection spectrum is further shown to be strongly dependent on the azimuthal number. In addition, the PBG is greatly enhanced as the azimuthal number increases. The PBG structure is periodically distributed at odd multiples of design frequency for m = 0, which is consistent with the PPC. This periodic feature, however, is no longer present for a larger m-number.
AB - Photonic band gap (PBG) in a circular photonic crystal (CPC) has been theoretically investigated in detail on the basis of transfer matrix method in the cylinder Bragg wave. Analytical results in the PBG have been made based on the reflectance spectrum in a quarter-wavelength stack. It is found that, at azimuthal number m = 0, both wavelength- and frequency-dependent reflection responses for the CPC bear strong resemblances to those of a one-dimensional planar PC (PPC). The reflection spectrum is further shown to be strongly dependent on the azimuthal number. In addition, the PBG is greatly enhanced as the azimuthal number increases. The PBG structure is periodically distributed at odd multiples of design frequency for m = 0, which is consistent with the PPC. This periodic feature, however, is no longer present for a larger m-number.
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U2 - 10.1163/156939311798147123
DO - 10.1163/156939311798147123
M3 - Article
AN - SCOPUS:81255195860
SN - 0920-5071
VL - 25
SP - 2222
EP - 2235
JO - Journal of Electromagnetic Waves and Applications
JF - Journal of Electromagnetic Waves and Applications
IS - 16
ER -